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Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
Absence of localization in interacting spin chains with a discrete symmetry
Benedikt Kloss1, Jad C Halimeh2,3, Achilleas Lazarides4
1Center for Computational Quantum Physics, Flatiron Institute, 162 Fifth Ave, New York, NY, 10010, USA. bene.kloss@gmail.com.
Symmetries in disordered spin chains can surprisingly lead to spin transport, even in systems expected to be localized. This challenges existing theories and offers new insights into quantum many-body systems.
Area of Science:
- Condensed matter physics
- Quantum many-body systems
- Statistical mechanics
Background:
- Strong ergodicity breaking is a key area of research in condensed matter physics.
- Understanding thermalization and its absence in closed quantum systems is crucial.
- Many-body localization (MBL) is a specific phenomenon where quantum systems fail to thermalize, but its conditions remain unclear.
Purpose of the Study:
- To investigate the conditions for the emergence and breakdown of strong ergodicity breaking.
- To explore the role of symmetries in disordered quantum many-body systems.
- To understand the phenomenon of many-body localization and its relationship with symmetries.
Main Methods:
- Theoretical proof for spin chains with specific symmetries (mirror and spin-flip).
- Numerical simulations using Stark many-body localization (Stark-MBL) and symmetrized many-body localization (symmetrized-MBL) models.
- Analysis of spin transport at zero total magnetization and infinite temperature.
Main Results:
- Spin chains with mirror and spin-flip symmetries exhibit finite spin transport.
- Delocalization was observed across all energy densities in the studied models.
- Delocalization persists even when the specific symmetries are broken.
- Coupling two localized systems can lead to their mutual delocalization.
Conclusions:
- Symmetries play a critical role in the behavior of disordered quantum systems.
- The existence of exact resonances is not a sufficient condition for delocalization in these systems.
- The findings open avenues for studying higher dimensions and different conservation laws.
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